The Fugledge Commutativity Theorem Modulo the Hilbert-Schmidt Class and Generating Functions for Matrix Operators. I

DOI10.2307/1997971zbMath0403.47009OpenAlexW4245975152MaRDI QIDQ4188316

Publication date: 1978

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1997971

zbMATH Keywords

Perturbations Trace Commutators Trace Class Normal Derivations Normal Operators Fuglede's Theorem Hilbert Schmidt Operators Generating Functions for Matrices Laurent Matrices

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items (16)

Fuglede-Putnam theorem in algebras with involutions ⋮ On zero-trace commutators ⋮ On a theorem of Weiss ⋮ On normal derivations of Hilbert–Schmidt type ⋮ Inequalities for the Schatten p-norm II ⋮ The Fuglede Commutativity Theorem Modulo Operator Ideals ⋮ On Generalized Fuglede-Putnam Theorems of Hilbert-Schmidt Type ⋮ Some inequalities for commutators and an application to spectral variation ⋮ An Elementary Approach to Elementary Operators on B(H) ⋮ Some Trace Class Commutators of Trace Zero ⋮ A Hilbert-Schmidt norm inequality associated with the Fuglede-Putnam theorem ⋮ Operator synthesis II: Individual synthesis and linear operator equations ⋮ The elementary operator and Fuglede-Putnam theorem for a class of essentially commuting almost normal operators with finite modulus of Hilbert-Schmidt quasitriangularity ⋮ On generalised Putnam-Fuglede theorems ⋮ On the existence of quasicentral approximate units relative to normed ideals. I ⋮ Multiplication operators and traces of commutators

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